The sum of \[1+n\left( 1-\frac{1}{x} \right)+\frac{n(n+1)}{2!}\text{ }{{\left( 1-\frac{1}{x} \right)}^{2}}+.....\infty ,\] will be[Roorkee 1975]

\[{{\left( 1-\frac{1}{x} \right)}^{n}}\]

The sum of \[1+n\left( 1-\frac{1}{x} \right)+\frac{n(n+1)}{2!}\text{

1.	The sum of \[1+n\left( 1-\frac{1}{x} \right)+\frac{n(n+1)}{2!}\text{ }{{\left( 1-\frac{1}{x} \right)}^{2}}+.....\infty ,\] will be[Roorkee 1975]
A.	\[{{x}^{n}}\]
B.	\[{{x}^{-n}}\]
C.	\[{{\left( 1-\frac{1}{x} \right)}^{n}}\]
D.	None of these
Answer» B. \[{{x}^{-n}}\]

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The sum of \[1+n\left( 1-\frac{1}{x} \right)+\frac{n(n+1)}{2!}\text{ }{{\left( 1-\frac{1}{x} \right)}^{2}}+.....\infty ,\] will be[Roorkee 1975]

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